Find the equation of the curve whose tangent line has a slope of f'(x)=5x-6/7 if the point ​(minus ​1,negative 9 ​) is on the curve.

Q: What is the slope of the the tangent line to y=1/x^5+−1/x^3 at x=1?

A: Given y=1x5+-1x3 and x=1

Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

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Q: Find the equation of the tangent line at the given value of x on the curve. 2y' +xy - y = 54x*, x= 1…

A: Explanation: Given that: 2y3+xy-y=54x4 x=1 Concept: The standard equation of tangent line y=mx+c…

Q: 4 The slope of the tangent line to the curve y = X at the point 5, is: 5

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Q: 3. What is the slope of the tangent line to y = 4* at x = 0?

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Q: Find the equation of the tangent line at x= 10

A: To find: The derivative of function fx=x-1 by limit definition of derivative and also find the…

Q: Find the slope of the tangent line at the point P = (1, 1) on the graph of              ex-y = 2x2 -…

A: Given,          ex-y = 2x2- y2    at   P=(1, 1)

Q: Find the equation of the tangent line at the given value of x on the curve. y3 + xy? - 3 = x + 5y²;…

A: Calculate y at x =5.

Q: What is the slope of the tangent line to y = 4x at x = 0?

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Q: Find the slope of the tangent line to the curve x² + 3xy + 3y³ = − 101 at the point (4, -3).

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Q: What is the slope of the tangent line to the graph of y=x+1/x at x=2? What is the y-intercept of…

A: According to power rule of differentiation, .

Q: Find an equation of the tangent line to the curve  y = x sq root of x  that is parallel to the line…

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Q: The slope of the tangent line to the curve y=2eUXcos(-6x) at x-0 is

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Q: Find an equation of the tangent line to the curve y = 5 – 2x – 3x² at (1,0). y =

A: We will find the equation of the tangent line to the curve at the given point as following.

Q: Estimate the slope of the tangent line at the point indicated f(x) = ex :   x=0

A: Find out the slope of the tangent line at the point indicated f(x)=ex : x=0. Slope of the tangent is…

Q: Find the slope of the tangent line drawn to the graph of −4x^2−xy+3y^3=−200 at the point (−1,−4).…

A: Given function is : -4x2-xy+3y3=-200 To find out slope of tangent dydx at -1,-4 Differentiating…

Q: How do you find the equation of the tangent line of xy = 36?

A: We have to discuss How do we find the equation of the tangent line of xy = 36.

Q: Find the equation of the tangent line to the function y = xsin x when x = 6.

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Q: Find an equation for the tangent line y= 4x-sinx when x=0

A: y=m(x) +c where m is slope and c is Y-intercept.

Q: Find the equation of the tangent line at the given value of x on the curve. 2y (x-4) +x/y = 8; x=4 y…

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Q: what is the slope of the tangent line to the curve 8x^3 - y^2 = 4 at the point (1,-2)

A: Given,

Q: 4 at the point ( 6, The slope of the tangent line to the curve y is: 3 |

A: The  Slope of the tangent line is = -(1/9)

Q: Find the equation of the tangent line to the curve y = 8/x2 + x + 2 at x = 2.

A: Given, y=8x2+x+2,  at x=2 slope of curve at x=2 is dydx dydxx=2=-82x+1x2+x+22dydx=-4064=-5/8 at x=2,…

Q: Find the equation of the tangent line to the curve y = 4r- 3r through the point r= 2 using the…

A: Given curvey=4x-3x2

Q: Find the equation for the tangent line to the curve y = 25 X + x² at x = 5.

A: Equation of tangent line to a curve y=f(x)  at x=a is given by y-f(a)=f'(a)(x-a)

Q: Find the equation of the tangent line to the curve y=xVx +5 at the point (2,6).

A: Given : y= x √(x²+5)  To find tangent line equation, we need to find differentiation of this…

Q: Find the slope of the tangent line to the curve 2² – -1 4.xy + 4y: at the point (1, - 1),

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Q: What is the slope of the tangent line to the curve y= -sin 3x at x=

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Q: Find the slope of the tangent line at the indicated point * y = Vx2 – 2x at x = 3

A: Here, y=x2-2x So, the slope of the tangent at x=3 is: dydxx=3

Q: Find the slope of the tangent line to the curve - 3x² – 3xy - 4y³ = 265 at the point (1,4).

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Q: Find an equation of the tangent line to the curve y = x/x that is parallel to the line y = 6 + 3x. y…

A: The given question has been solved in detail

Q: Find an equation of the tangent line to the curve  y = xsqrtx  that is parallel to the line  y = 6 +…

A: Given data: *The equation of the curve is y=x×x *The tangent line is parallel to the curve y=6+3x…

Q: Find the exact value of the slope of the tangent line to the graph of 3x2+xy−3y3=1 at the point…

A: The slope of the tangent to a curve y=fx at a point x1,y1 is defined by the formula, Slope of the…

Q: 4 at the point ( 3, The slope of the tangent line to the curve y is:

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Q: tangent line

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Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: Find an equation of the tangent line passing through the curve defined by y%3esinxcosx at x=,

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Q: Find the equation of the tangent line (in point-slope form) to . 2 f(x) = 3 – 2x' + In(5x + e) at x…

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Q: Find the slope of the tangent line to the curve - 2x² - 2xy - 1y³: 1y³ = - 11 at the point (-2,-1).

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Q: What is the slope of the tangent line to the graph of y= x + cosxy at the point (0,1)?

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Q: Find the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

Q: Find the slope of the tangent to the curve f(x) = at the point where x = 4

A: Given that: f(x)=5x

Q: Find the equation of the tangent line to the function y = sec'x at the point :2 4-

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Q: Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

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Q: Determine the point on the curve where the slope of tangent line to the curve is 0 or -3 a) f(x)=…

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Q: Find the slope of the tangent line to the curve y=4x^3-x at x=1. What is the equation of the line…

A: Given: The equation of a curve is y=4x3-x . The slope of the tangent to the curve at the point x=1…

Q: Find the equation of the tangent line at the given value of x on the curve. 2y° + xy - y = 16x*; x=1…

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Q: Locate the point where the slope of tangent line to y-n 2r2 s

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Q: What is the equation of the tangent line to the curve defined by the given function at the point…

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Q: Find the equation of the tangent line at the given value of x on the curve. 4y +xy-y 32x*; x=1 y=

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